A generalization of cohen's theorem

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dc.contributor.advisorNguyen, Van Sanh
dc.contributor.advisorChaiwat Maneesawarng
dc.contributor.advisorSomsak Orankitjaroen
dc.contributor.authorNguyen, Trong Bac, 1986-
dc.date.accessioned2023-09-11T03:57:41Z
dc.date.available2023-09-11T03:57:41Z
dc.date.copyright2015
dc.date.created2015
dc.date.issued2023
dc.description.abstractIn this thesis, the researcher introduced the classes of strongly prime and one-sided strongly prime submodules and used these classes to characterize Noetherian modules. The researcher gave a new characterization of Noetherian modules, following which a finitely generated right R-module M is Noetherian if and only if every one-sided strongly prime submodule is finitely generated. This result can be considered as a generalization of Cohen"s Theorem.
dc.format.extentv, 42 leaves
dc.format.mimetypeapplication/pdf
dc.identifier.citationThesis (Ph.D. (Mathematics))--Mahidol University, 2015
dc.identifier.urihttps://repository.li.mahidol.ac.th/handle/20.500.14594/89746
dc.language.isoeng
dc.publisherMahidol University. Mahidol University Library and Knowledge Center
dc.rights.holderMahidol University
dc.subjectMathematical analysis
dc.subjectCohen structure theorem
dc.titleA generalization of cohen's theorem
dcterms.accessRightsrestricted access
mu.link.internalLinkhttp://mulinet11.li.mahidol.ac.th/e-thesis/2558/502/5538654.pdf
thesis.degree.departmentFaculty of Science
thesis.degree.disciplineMathematics
thesis.degree.grantorMahidol University
thesis.degree.levelDoctoral Degree
thesis.degree.nameDoctor of Philosophy

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